Yes it can help . Yes it can also wear out the box in short order . If it's not the problem , you'll soon find out when the steering binds up . If you want to know the condition of the str box , crawl under the jeep , look directly up at the shaft and have someone turn the steering wheel 1/2 turns . There should be a minimal amount of play , most cases have a leaking seal which is a good indicater of it's condition . If the seal leaks , there is usually excess play .
Before doing this , make sure the frt end has been thoroughly inspected . I agree with Jeff , pop them off and see how loose they are . I find the best quick inspection though is with channel locks squeezing the joint and having someone back and forth on the wheel , by compressing the joint , you load it . Alot of the times you can feel a clunking with a worn steering TRE , so have your hand on the bars or cloe to the suspect joints while inspecting , it might help .
Track bars , They can sure cause wandering . Back and forth on the steering wheel at 1/2 turns . 'Any' play in this area means replacement .
Any replacing parts warrants a fresh whl alignment , which , if off , can also cause wandering .